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Finding the Fourth Proportional to 31,961.40, 44,117.10 and 21,353.40

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Solution

The fourth proportional to 31,961.40, 44,117.10 and 21,353.40 is: 29,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961.40 : 44,117.10 = 21,353.40 : x
  2. Step 2: Convert to fraction form
    31,961.40/44,117.10 = 21,353.40/x
  3. Step 3: Cross multiply
    31,961.40x = 44,117.10 × 21,353.40
  4. Step 4: Simplify right side
    31,961.40x = 942,050,083.14
  5. Step 5: Solve for x
    x = 942,050,083.14/31,961.40
  6. Step 6: Final answer
    x = 29,474.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.